What is the Greatest Common Factor of 28960 and 28965?

Greatest common factor (GCF) of 28960 and 28965 is 5.

GCF(28960,28965) = 5

We will now calculate the prime factors of 28960 and 28965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28960 and 28965.

How to find the GCF of 28960 and 28965?

We will first find the prime factorization of 28960 and 28965. After we will calculate the factors of 28960 and 28965 and find the biggest common factor number .

Step-1: Prime Factorization of 28960

Prime factors of 28960 are 2, 5, 181. Prime factorization of 28960 in exponential form is:

28960 = 2⁵ × 5¹ × 181¹

Step-2: Prime Factorization of 28965

Prime factors of 28965 are 3, 5, 1931. Prime factorization of 28965 in exponential form is:

28965 = 3¹ × 5¹ × 1931¹

Step-3: Factors of 28960

List of positive integer factors of 28960 that divides 28960 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 181, 362, 724, 905, 1448, 1810, 2896, 3620, 5792, 7240, 14480

Step-4: Factors of 28965

List of positive integer factors of 28965 that divides 28960 without a remainder.

1, 3, 5, 15, 1931, 5793, 9655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28960 and 28965. The biggest common factor number is the GCF number.
So the greatest common factor 28960 and 28965 is 5.

Also check out the Least Common Multiple of 28960 and 28965